{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pyAudioKits.audio as ak\n",
    "import numpy as np\n",
    "import pyAudioKits.analyse as aly\n",
    "import pyAudioKits.algorithm as alg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After the introduction of general audio, this section further begins the study of speech signals. Both the theory and the analysis methods of general audio are applicable to the speech signal, which in turn has more further properties and analysis methods, as well as some specific tasks.\n",
    "\n",
    "# Composition of speech\n",
    "\n",
    "The speech signal is composed of three components.\n",
    "\n",
    "1. Voiced sound: periodic or quasi-periodic in nature, its frequency is called fundamental frequency ($F_0$). Nearly musical tone.\n",
    "\n",
    "2. Unvoiced sound: no periodicity, no fixed pitch. Approximates noise.\n",
    "\n",
    "3. Silence: there is still background noise.\n",
    "\n",
    "The three components here are mutually exclusive in time, so the speech signal can be sliced and categorized into the three categories mentioned above.\n",
    "\n",
    "# Modeling of speech\n",
    "\n",
    "The speech is generated by the linear time-invariant system mentioned in the previous section, namely $Y(z)=H(z)X(z)$, where $y$ is the generated speech, $x$ is the **excitation** needed to generate the speech, and $h$ is the system **formed by our vocal tract and lips**.\n",
    "\n",
    "Voiced sound is produced by forcing air through the **glottis**, in which case **glottis vibrates**, producing **quasi periodic airflow** to stimulate the vocal tract. This kind of excitation has fundamental wave and multiple harmonics, which is similar to musical tones. Unvoiced sound is produced by forming a contraction along a certain point of the vocal tract, forcing the air to produce **turbulence** through contraction. The excitation of voiced and unvoiced tones is random, so they belong to random signals.\n",
    "\n",
    "The specific pronunciation is determined by the **vocal tract resonance**, which is excited by the glottic energy. The vocal tract can be regarded as a straight tube with uniform cross-sectional area, which closes at the glottic end and opens at the lip. When the shape of the vocal tract changes, the resonance also changes. Generally, there are two **formants**, which are the characteristics of **pronunciation**.\n",
    "\n",
    "For voiced sound, the glottis is modeled as a bipolar system, **the air excitation convolutes with the bipolar system to produce the excitation of voiced sound**; unvoiced sound does not pass through glottis, **turbulence is directly used as excitation**.\n",
    "\n",
    "The actions of glottis, vocal tract and lips will change the position of the zero point and pole of the system over time, change the characteristics of pronunciation over time, and enable speech to transmit information. Therefore, speech signals often do not satisfy the stationary stochastic process.\n",
    "\n",
    "# Properties of speech\n",
    "\n",
    "Speech is also an audio signal, so energy, power, autocorrelation function, spectrum, power spectral density and other attributes are applicable to speech. Since the speech signal is often not stationary, framing and windowing must be performed before speech signal analysis.\n",
    "\n",
    "In addition, speech signal has two attributes **zero crossing rate** and **spectral entropy**, which are defined in time domain and frequency domain respectively. The zero crossing rate is the frequency at which the audio intensity curve passes through 0, which can reflect the frequency of those components with the greatest intensity in the signal; The spectral entropy represents the amount of information of a short-term signal. The larger the spectral entropy, the smaller the amount of information.\n",
    "\n",
    "For speech signal analysis, we first record a short segment of audio. The audio used in the demonstration is \"sample_audio/zero_to_nine(Chinese).Wav\", which is the Chinese pronunciation of nine Arabic numerals from 0 to 9."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "record = ak.read_Audio(\"sample_audio/zero_to_nine(Chinese).wav\")\n",
    "record.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be seen that the amplitude of the signal concentrated at 10 positions is significantly greater than 0, which is the position where there is voice, and the other positions are silent."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The power of the audio:  0.0008365712991196913\n"
     ]
    }
   ],
   "source": [
    "record.sound()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Among them, there are unvoiced sound at the beginning of \"three\", \"four\", \"seven\" and \"Nine\", and the rest are voiced sound."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To analyze the audio signal, we need to perform framing and windowing. Here we use Hamming window."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "record_framed = record.framing(window=\"hamming\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The recorded sampling rate is 44100Hz, while the fundamental frequency of human voice is generally distributed between 100-500hz. When drawing spectrogram, we need to compress the resolution of high frequency and improve the resolution of low frequency. The method is to use mel scale frequency axis coordinates. The theoretical basis of mel scale is that the sound frequency perceived by human ear is not linearly related to the actual frequency of sound. Mel scale gives the frequency range a resolution equivalent to human auditory resolution. The formula for converting from real frequency $f$to Mel frequency is $f_ {mel}=2595\\log_ {10}(1+f/700)$.\n",
    "\n",
    "In addition, we also use the form of gain for the rendering of speech amplitude spectrogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.FFT(record_framed).plot(plot_type=\"dB\",freq_scale=\"mel\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The spectrogram of voiced part presents horizontal stripes stacked vertically, and the higher the frequency, the colder the color of stripes, indicating that the intensity is lower. This shows that voiced sound is the superposition of fundamental wave and harmonics, and its fundamental wave determines its pitch.\n",
    "\n",
    "The unvoiced part is a single longitudinal stripe, and its frequency components are distributed in the whole frequency range, so it is similar to white noise.\n",
    "\n",
    "There is still noise in the mute part, and these noise frequency components are mainly concentrated in the low-frequency part."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Statistic the short-time spectral entropy, which is calculated as $H[k]=\\displaystyle-\\sum_{m=k-N+1}^{N/2}p[k,m]\\log_2p[k,m]w[n-m]$, where $p[k,m]=\\frac{\\displaystyle Y[k,n]}{\\displaystyle\\sum_{l=0}^{\\frac{N}{2}}Y[k,l]}$, $Y[k,n]=X[k,n]X^*[k,n]$, and $X[k,n]$ is the short-time spectrum of the $k$ th frame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/harmonialeo/opt/anaconda3/lib/python3.8/site-packages/matplotlib/cbook/__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7RZEV8JUO35jFSK+Cotjl5haggT5bYa+LI9LFhfV5+tPwiwje+rb5rTWf+Szy4ofBOOmembPKm+6qid9ttHVcqOoC5JzdRLG8apW2qj6uqm8DuNjLwBLZ4bIKzN+427P2R7zwjWdrAGqbPL8Qa4sO4FBZOfYeiqzstp0V4v/9eWRF/hZu2oP9Fl0TnzicXfOH/yxyGFFoP/5c92/kaEUlikpKa3TDHC4L/xP8M7NW21qE6GTywv3vLfFknw0vkmG0ButVFZN+3BSya3Nx4d6IxkzKyis9XSMjdv5BRWSBqp5c32Nhv7jIEADPAUgB8Iqqjq/1fDp8i/1OAbALwJX1Va3Nz8/XggLng5ZHyitw85vzMWdVMf50YQ+s3lGCVk3SkZOVjtQGgv83dQVystJRXHIEDw4/AX+buaq6vEbPtllY6Z9Z89sBnbC++CCOb90EnVo0QtfWjVFSWo4ff96Nt3/w9fO/eUN/jH7tR1QqkJWRigGdW2JtUQneuWkgNu0+ZPsS2spzo/pWF/e77ow83HBmZ1z/+jys3nEAXVo1RssmaZi3IbYuwd+6YQCufvWH6vuX9G2PtNQGeNfmvgh2XNqvA8ortXraZf+8FkhNEXy3blfEbU8aMxBvfL8B05Zsx31DeuC5z9agZeM0nNq5BT5a5PzENG5oT/w1oHRLm6bpyM5Mi7io4tCT2uLs7jnYtvcwsjIa4uddB7Fg4x60bpoRUemWM49vhe/X70JFpaJzq8Y1JkJkpafi2jPysGJbCT5bEd7OeB/ffia+WlOMl79ch/dvOR0vzFmL9tmZeOmLdRjWuy2mLQlvXOXa0/OQlZGKxYX70KlFI3Rvm4WHPlyKkztl49ERJ+GedxdhTdEBdMlpjK17D+P0rq3QOisdk/zdfTlZ6bgiPxf9OjZHh+aZKK9QTPh6PU7plI0npq+sU37nkYt7oWlmw6CLZds1y8Cdg7qh9GgFzuvRGuc+/QWuGXgc3l9QiEEntMF9Q3pgXfFB3D1pIfYcOophvdsio2EK3l/g6xKOpCioiMxX1fygz1klChEZCmAYgCsA/CfgqaYAeqlq/wiCSgGwGsAFAAoBzANwlaouDzjmVgB9VPVmERkF4FJVvdKqXaeJoryiEsc/wBm/RBS//varPrji1I6OftYqUdTX9bQVQAGAUgDzA76mALjQUTTH9Aew1r/XRRmASag77jESx0qFTAYwSNzYfzIIr2ZqEBFFy33vLfakXcv9KFT1JwA/icjbqur2NmQdAARO1ShE3Sm31ceoarmI7APQEr5V4tVEZAyAMQDQqZOzBeOsT09EFFx9Gxe9q6pXAFgoInXOpKrax7PIwqCqEwBMAHxdT87acDUkIqKoe+LS3p60a5koANzl/36RB6+9BUBgZ1qu/7FgxxSKSCqAZvANaruuTdMMzL73HMzfuAf3Tfbm8o2IyEu/GeBNCb76up62+b/bm8AcnnkAuolIZ/gSwigAv6l1zBQAo+ErF3I5gM/Vi3l3fl1zmqBrThNcke/LX4fLKnCorBwtGqfhYFkFmqSnYvfBMmQ0bIDikiP4bt0u/OrkXBSVlCK3eSPMWLodxQeO4JqBxwHwrRCduWwHLuvXAQrg928W4PJTclG45zC65jTBeT1bA6ia8ngELRqlITMtBQDwytfrsWbHAYwb1hN9H5sV9nsZO7Qnbj6nK1Zs24/01Aa4c9JCvHbtqWidlVHjOFVF53HTwmr7uVF9MWPp9upBs6L9pbigV1s0Tk9BempK9XHhFihc8NAFOFpRiayMVJSUluNQWQU6ZGeivLISAsH6nQcw/HlndZ4CvXPTACzbsh8dWzTCie2bomOLY9ukRlJU8ftx56Nds0wAwN5DZbjspe/w2wHH4fJTctE0I7V6C2G7r/H7c7rg7kHdq/8mSkqPoqS0HI3SUpDdKA0AsL74AFIaCM556ouwYh3YpQXeumEAnv98La7Iz0Vu82O/g8pKxfb9pWjeKA0nPDwjrHYD/fzXYdXv+du1O5HbPBPtmmXicFkFFm/Zi7O65QAI73f+4wODAACZDVOwYlsJ+ndugSk/bcV5PXKQldEw7PYA4I3r++PE9k3Rskl69WOqClVfl3RxyRG0z86sfq6iUlFWXonMtBQcrahEWXklGqf7TqUrtu1HTlY6WgW0BQC7DhxBs8yGSE1pgE27DmHXwSPo16k5AGDR5r1onJaCbm2yavzMvsNHUV5RWSOuKofKyrFp9yH0bNsUqgqPhm6r1TfrqQRA4AHivy8AVFWbRvTiIsMAPAvf9NjXVPVxEXkMQIGqThGRDABvAugHYDeAUaq63qrNSKfHxqJw//CXPPLL6v80XrRvdwqeF+2On74SL3/pfFvW+l7DaaK4f0hP3HJuV1vH2n2NcKY6Hi6rCOuk7tW/YZUv/3QujmvZ2PXXsBN3OO3983f5uKAX92ADIpj1pKpZqto04Csr8HukganqNFXtrqpd/XteQFUfVtUp/tulqvprVT1eVfvXlyTIJ5wkEW9GOZz6Z9dV/Z1dut90VmeXIwlP1VWH2xo7aPedmwbYThLhsPs7Hn3acbbbZJKwx3ZRQBE5WUTuFJE7RKSfl0FR8rn9vONtHZfXyv0TUKBT85o7+rnUFEf1NWOeky4NgTfdIH8edoKt4+4a3N2T109mdosCPgzfeoaWAFoBeF1EHvQyMEougX3AXulRqw84mKYOrsYWP/JLJ+FY+ub+81xv04l2zTLqP6gWp8m2PnaTVovGaZ68fjKz+zHotwBOVdW/qOpfAAwEcI13YVGs+vzeczxpN5x1LOOG9nT0GmOH1f9zg05oHXa74SaXS/t1sHz+xjM71xhcNumOQd3C/pl4ubr6xzWnmA4hbtj9F90KIPCjRTrqTmUlj0y/6yzTIVTrktPEk3bP8c+AseP359gbNHbyGl7PHgGA5o2sP/Ge1d3+78KJS/q2t33skBPbehiJWRcm8Htzm91EsQ/AMhF5XUT+BWApgL0i8ryIPO9deAQAJ7Rrimeu/IWtYx+6qFfY7TdJr285jfdysupOAXRbgwb2kkA4J8eXrw7/U+nQ3tbt2+kii8TpXVvZPtbuXu1ee//W002HkNTsniE+8H9V+cL9UMhKR5tdEdefkRd22+mpDXDA2e6irvFq1o4TD1/cC6XlFRjxi/ZBK3wG6tQi/C6i+nrZ2joYF7Dr0REn4len5HrWvlf65mabDiGp2UoUqjqx/qPIS3Z7RKLRdRIL5vzxXMxZWYTHPglvy1A72mdn4vXrfIWR60sUXXLCn4VVabBezOjT8zxt36uVwXavBskbdmc9XSQiC0Vkt4jsF5ESEeE2UlHULNP82oiBXVqYDqFa51aNcf2Z9tcufH2fN7OIMhqGfyVkNfh9cqfsCKIx77ERJ5oOgTxgt+vpWQCXAVjiZQkNCu341t71W9u9CrnN5lqHcPVs622fPIAaZTpM69U+9FrVd24aGMVI3BcvM54+/cPZpkOIK3b/VTcDWMokETt+/POgOo/9LowVqYFuP8/eLKI2Tb3rO49Hbq8XSE9t4OgKher6Rcdsy+djYQJHPLGbKO4DME1ExonIPVVfXgZG1lo3zcBdAXPcp9x+Bh52MOMJAHKy7CWA1lGYmRRP3B4PevbKvq62l8zevMF6880UjnmExW6ieBzAIfjWUmQFfFEU3ejvk3/9ulMBAH+4wFeqYPAJbdAnN9vzy/7seub/O/Wox/3at9m8YgpXJOeaYPWIhvZuF0E0FKi+RZBJMufDNXavv9qr6kmeRkL1emD4CfjjhT1qdE9Espl6FZPdytPuPMuyz94N5ZXe9JimNnD+i/vLxSdi4vdeVO93352DuuH52WtMh+GqBswUYbH7lz5NRNwvaENhERFP+rBNLqpq3tj72VyHyyoc/6zVVcPZ3e0vXKvTbgNB80bH3ruTKq3Rcnxrb1bj2+XFrm1ME+Gxe4a4BcAMETnM6bGJp/YmK4n22tdGsHbgjONDJ4NIk/bCh4999orlWSIX9zHbJZbXKnZmrCUrW4lCVbPgqxp7LoCL4dsa9WLvwqJo6mNj1etl9RSyc6phFPq9IqlP9c/fBd3HxXWxsE4mFLuD9l5defy886An7ZJ9dhfc3QjgSwAzADzi//6wd2FRrOkRhbUOXoh0jYbVVcPALi0jahtAdQ2vt24cEHFbpn142xmetOu09pXVJlcsRR4eux/n7gJwKoCNqnoefFuT7vMsKoo5Tspvx4IZd3u3sKq7C8X7Lu2Xiw3jh6OrR1V5o8mrtQn5ec4qAjweYmzj/iE9k6bUjVvsJopSVS0FABFJV9WVAHp4FxZF23djz8dwi77ozDQuUIp3f73M/UHhWBZqrYTdvc3pGLuJolBEsgF8CGCWiHwEwPHcPhFpISKzRGSN/3vQJa4iMkNE9orIJ05fi+xpn52JZ67oW33/tC4tMf/BwdX3O0RhBzq3sUxDTb86Of6qxlJssDuYfamq7lXVRwA8BOBVAJdE8LpjAcxW1W4AZvvvB/MUuJNe1AROk/3XdafGVOlvJ9zoGgKAb8ee70o7pnExMjkV9pQTVf1SVaeoalkErzsSvj244f9+SYjXmg2gJILXIQfSUnw1hxqlpeKCXm2S/lI9WIkzrzcX8kIkK/fP9njXPYptpjqe26jqNv/t7QDaRNKYiIwBMAYAOnXyph5+sqi90jta00Pd9t4t3u6I9l6S7bg24ZpTUFJajlMf/8x0KGSAZ4lCRD4DEGzPxwcC76iqikhE641UdQKACQCQn58fy2uXyGPXnp6HP13YA41dnIETbFFgslUfzWiYkhCVbWNp//l44tlfu6oODvWciOwQkXaquk1E2gEo8ioOii1zxw3CH/6zCN+v3+VJ+7ee19XVJAFEvgKbYgdL5TtjqsjPFACj/bdHA/jIUBwUZW2bZeDfYwaibdMMz7bNJKqSVmtcpmlGcl0JusXUb208gHdF5Ab4ptleAQAikg/gZlW90X//awA9ATQRkUIAN6jqTEMxk4vmBtl4yQ1Z6bFbCoOir112BjbuOlR9P1524Is1RhKFqu4CUOdMoaoFAG4MuM8ORQpLNKb0HteSReqiZeL11hsQ1advx+waiYKcYXolCtMHt3pT0ygepIZYjNGqiTe1k9o05a6KsYCJgihMybx1fKgSSXec3y34ExHq2dbbTa3IHiYKojAlb5oAJMSWP+kGN7+yEsleJHRMbP7rUkLgrKbEc88vuwd9/MITgy2ZMq9fp6Bl5ChMTBTkmYYJWlwoVj89R0OoDZbivS4YWUvev3jyXCJ20VzarwOyMjgFN9D8BwdzUWKCY6Igz5zUvpnpEFxTVTtq3LCehiMxK9g1YksP9j1P5qu2WMRliuSZfp2yTYfgmlOOa16nYGIyitbGcPMfugDlFZXReTGqFxMFeaZ219OgnvG5nSpFX7IVXYx1vL4jzzSqNcDZJaexoUjILaGmx1JiY6Igz+Q2j26pi5l3c+tTIi8wUVDUiIcd3D3aZKFH2/jbdS7etGnmfZnui/q0c7W9nvy7iBgTBUVNMpe+iIbZ956DB4ef4Olr9M9r4Wn7ADBumLvvoX12JgDg5atPdrXdZMJEQVFzetdWnrXdoXmmZ23Hi645TXDjWV08fY1oLKzL8GhqbGoDnu6c4m+OouY8D2Y9ndXNl3yuOe0419smM9xel8Hh98gxUVBC4MkgetY/Mcx0CBRlTBQU16oGyDn6ET0NAmp49clNnNX3FBoTBcU1XknY4/aEs6q9qE+Oo+qs/DDhHBMFJQaeBSy5nVA/vuNMAMAvT2zjcsvui1bZkURmJFGISAsRmSUia/zf63wsEZG+IvK9iCwTkcUicqWJWCm28SRgj9trWHq0zcKG8cM9nclGscPUFcVYALNVtRuA2f77tR0C8DtVPRHAEADPikh29EKkeFBVZZQJ45hgax2Oz2liIJLYUFUCPYX9J46Zqrw1EsC5/tsTAXwB4P7AA1R1dcDtrSJSBCAHwN6oREhx4YlLe6NLThOc1S3HdCgx7U8X9jAdgjH/NfIk5LVsjHO6syilU6ZybBtV3ea/vR2AZUeniPQHkAZgXYjnx4hIgYgUFBcXuxspReTGMzt72n7LJum4f0hPpCTobnpuSU1J3t9P88Zp+OOFPfg3EgHPEoWIfCYiS4N8jQw8Tn11HUIORYpIOwBvArhOVYMWqFfVCaqar6r5OTn8ZBlLfndaHgCgQzZXTpvkZZ0tSnyedT2p6uBQz4nIDhFpp6rb/ImgKMRxTQFMBfCAqs71KFTyUNUey0NOams4EiJyytQYxRQAowGM93//qPYBIpIG4AMAb6jq5OiGR25p1qgh5j84GNmN0kyHkrSuPT0PZ3RtaToMimOmxijGA7hARNYAGOy/DxHJF5FX/MdcAeBsANeKyCL/V18j0VJEWjZJZ/9wFGmtntxHRpyIVE75oQgYuaJQ1V0ABgV5vADAjf7bbwF4K8qhERFRLfyYQURElpgoiBIM97UmtzFRECWY2mMURJFioiAiIktMFEREZImJgijBZKaZWh5FiYqJgijB3HSWt/W1KPkwURAlmLSAxXU922YZjIQSBRMFUQL76PYzTIdACYCJgiiBpaemmA6BEgATBRERWWKiICIiS0wURAmGmxSR25goiIjIEhMFUYJq1STddAiUIJgoiBJU51aNTIdACYKJgijBdGyRCQAY1rud4UgoUbAoDFGCadcsEyseG4KMhvwcSO5goiBKQJlpXGhH7jHykUNEWojILBFZ4//ePMgxx4nIAhFZJCLLRORmE7ESUfQ8dFEv0yFQEKauTccCmK2q3QDM9t+vbRuA01S1L4ABAMaKSPvohUhE0dY0g50cschUohgJYKL/9kQAl9Q+QFXLVPWI/246OPBORGSEqZNvG1Xd5r+9HUCbYAeJSEcRWQxgM4AnVXVriOPGiEiBiBQUFxd7EzERUZLy7DpPRD4D0DbIUw8E3lFVFZGgu8Gr6mYAffxdTh+KyGRV3RHkuAkAJgBAfn4+d5YnInKRZ4lCVQeHek5EdohIO1XdJiLtABTV09ZWEVkK4CwAk10OlYiILJjqepoCYLT/9mgAH9U+QERyRSTTf7s5gDMBrIpahEQUdY3TOZgdi0wlivEALhCRNQAG++9DRPJF5BX/MScA+EFEfgLwJYCnVXWJkWiJKCqGnBist5pMM5K+VXUXgEFBHi8AcKP/9iwAfaIcGhEZ1KABS6THIk45JSIiS0wURERkiYmCiIgsMVEQkVFDT+IAdqxjoiAiowZ2aWk6BKoHEwURxYTze7Y2HQKFwERBRDEht3mm6RAoBCYKIiKyxERBREY1TPGdhlIb8HQUq1hYhYiMuvyUXGzcdRC3n3+86VAoBCYKIjIqLbUBxg07wXQYZIHXekREZImJgoiILDFREBGRJSYKIiKyxERBRESWmCiIiMgSEwUREVlioiAiIkuiqqZjcJWIFAPYGEETrQDsdCkckxLlfQB8L7EqUd5LorwPILL3cpyq5gR7IuESRaREpEBV803HEalEeR8A30usSpT3kijvA/DuvbDriYiILDFREBGRJSaKuiaYDsAlifI+AL6XWJUo7yVR3gfg0XvhGAUREVniFQUREVlioiAiIktMFH4iMkREVonIWhEZazoep0Sko4jMEZHlIrJMRO4yHVMkRCRFRBaKyCemY4mEiGSLyGQRWSkiK0TkNNMxOSUif/D/bS0VkX+LSIbpmOwSkddEpEhElgY81kJEZonIGv/35iZjtCvEe3nK/ze2WEQ+EJFsN16LiQK+kxGAFwEMBdALwFUi0stsVI6VA7hXVXsBGAjgtjh+LwBwF4AVpoNwwXMAZqhqTwC/QJy+JxHpAOBOAPmqehKAFACjzEYVltcBDKn12FgAs1W1G4DZ/vvx4HXUfS+zAJykqn0ArAYwzo0XYqLw6Q9graquV9UyAJMAjDQckyOquk1VF/hvl8B3QupgNipnRCQXwHAAr5iOJRIi0gzA2QBeBQBVLVPVvUaDikwqgEwRSQXQCMBWw/HYpqpfAdhd6+GRACb6b08EcEk0Y3Iq2HtR1U9Vtdx/dy6AXDdei4nCpwOAzQH3CxGnJ9dAIpIHoB+AHwyH4tSzAO4DUGk4jkh1BlAM4F/+brRXRKSx6aCcUNUtAJ4GsAnANgD7VPVTs1FFrI2qbvPf3g6gjclgXHQ9gOluNMREkaBEpAmA9wDcrar7TccTLhG5CECRqs43HYsLUgGcDOAlVe0H4CDip3ujBn///Uj4kl97AI1F5GqzUblHfesF4n7NgIg8AF839NtutMdE4bMFQMeA+7n+x+KSiDSEL0m8rarvm47HoTMAjBCRDfB1BZ4vIm+ZDcmxQgCFqlp1ZTcZvsQRjwYD+FlVi1X1KID3AZxuOKZI7RCRdgDg/15kOJ6IiMi1AC4C8Ft1aaEcE4XPPADdRKSziKTBNzg3xXBMjoiIwNcXvkJV/246HqdUdZyq5qpqHnz/Hp+ralx+clXV7QA2i0gP/0ODACw3GFIkNgEYKCKN/H9rgxCnA/MBpgAY7b89GsBHBmOJiIgMga+7doSqHnKrXSYKAP7Bn9sBzITvj/5dVV1mNirHzgBwDXyfwBf5v4aZDopwB4C3RWQxgL4AnjAbjjP+q6LJABYAWALfOSRuSmCIyL8BfA+gh4gUisgNAMYDuEBE1sB3xTTeZIx2hXgvLwDIAjDL/3//ZVdeiyU8iIjICq8oiIjIEhMFERFZYqIgIiJLTBRERGSJiYKIiCwxURB5wF8t9tZaj033168iiitMFETeyAZQnShEJBNAS1UtNBYRkUNMFETeGA+gq3/R01MAzgXwBQCIyHj/fiGLReRpgzES2cIFd0Qe8Ffu/cS/ZwNE5HkAHwL4CcB3AHqqqopIdpyXHKckwCsKoug4A8A3APYBKAXwqohcBsC1ejxEXmGiIPKYiHQBsNm/YVE5fBtlTYavwucMo8ER2ZBqOgCiBFUCX3E2wLfF7gygep+QRqo6TUS+BbDeUHxEtjFREHlAVXeJyLf+je+3AbjJ/1QWgI9EJAOAALjHVIxEdnEwm8hDIpIO4FtVzTcdC5FTTBRERGSJg9lERGSJiYKIiCwxURARkSUmCiIissREQURElpgoiIjI0v8B1pZBOH4BIJgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(None, None)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.specEntropy(record_framed).plot(), record.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The spectral entropy of silence is medium, of unvoiced sound is the largest, and of voiced sound is the smallest. \n",
    "\n",
    "Statistic the Short-term zero crossing rate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7RZEV8JUO35jFSK+Cotjl5haggT5bYa+LI9LFhfV5+tPwiwje+rb5rTWf+Szy4ofBOOmembPKm+6qid9ttHVcqOoC5JzdRLG8apW2qj6uqm8DuNjLwBLZ4bIKzN+427P2R7zwjWdrAGqbPL8Qa4sO4FBZOfYeiqzstp0V4v/9eWRF/hZu2oP9Fl0TnzicXfOH/yxyGFFoP/5c92/kaEUlikpKa3TDHC4L/xP8M7NW21qE6GTywv3vLfFknw0vkmG0ButVFZN+3BSya3Nx4d6IxkzKyis9XSMjdv5BRWSBqp5c32Nhv7jIEADPAUgB8Iqqjq/1fDp8i/1OAbALwJX1Va3Nz8/XggLng5ZHyitw85vzMWdVMf50YQ+s3lGCVk3SkZOVjtQGgv83dQVystJRXHIEDw4/AX+buaq6vEbPtllY6Z9Z89sBnbC++CCOb90EnVo0QtfWjVFSWo4ff96Nt3/w9fO/eUN/jH7tR1QqkJWRigGdW2JtUQneuWkgNu0+ZPsS2spzo/pWF/e77ow83HBmZ1z/+jys3nEAXVo1RssmaZi3IbYuwd+6YQCufvWH6vuX9G2PtNQGeNfmvgh2XNqvA8ortXraZf+8FkhNEXy3blfEbU8aMxBvfL8B05Zsx31DeuC5z9agZeM0nNq5BT5a5PzENG5oT/w1oHRLm6bpyM5Mi7io4tCT2uLs7jnYtvcwsjIa4uddB7Fg4x60bpoRUemWM49vhe/X70JFpaJzq8Y1JkJkpafi2jPysGJbCT5bEd7OeB/ffia+WlOMl79ch/dvOR0vzFmL9tmZeOmLdRjWuy2mLQlvXOXa0/OQlZGKxYX70KlFI3Rvm4WHPlyKkztl49ERJ+GedxdhTdEBdMlpjK17D+P0rq3QOisdk/zdfTlZ6bgiPxf9OjZHh+aZKK9QTPh6PU7plI0npq+sU37nkYt7oWlmw6CLZds1y8Cdg7qh9GgFzuvRGuc+/QWuGXgc3l9QiEEntMF9Q3pgXfFB3D1pIfYcOophvdsio2EK3l/g6xKOpCioiMxX1fygz1klChEZCmAYgCsA/CfgqaYAeqlq/wiCSgGwGsAFAAoBzANwlaouDzjmVgB9VPVmERkF4FJVvdKqXaeJoryiEsc/wBm/RBS//varPrji1I6OftYqUdTX9bQVQAGAUgDzA76mALjQUTTH9Aew1r/XRRmASag77jESx0qFTAYwSNzYfzIIr2ZqEBFFy33vLfakXcv9KFT1JwA/icjbqur2NmQdAARO1ShE3Sm31ceoarmI7APQEr5V4tVEZAyAMQDQqZOzBeOsT09EFFx9Gxe9q6pXAFgoInXOpKrax7PIwqCqEwBMAHxdT87acDUkIqKoe+LS3p60a5koANzl/36RB6+9BUBgZ1qu/7FgxxSKSCqAZvANaruuTdMMzL73HMzfuAf3Tfbm8o2IyEu/GeBNCb76up62+b/bm8AcnnkAuolIZ/gSwigAv6l1zBQAo+ErF3I5gM/Vi3l3fl1zmqBrThNcke/LX4fLKnCorBwtGqfhYFkFmqSnYvfBMmQ0bIDikiP4bt0u/OrkXBSVlCK3eSPMWLodxQeO4JqBxwHwrRCduWwHLuvXAQrg928W4PJTclG45zC65jTBeT1bA6ia8ngELRqlITMtBQDwytfrsWbHAYwb1hN9H5sV9nsZO7Qnbj6nK1Zs24/01Aa4c9JCvHbtqWidlVHjOFVF53HTwmr7uVF9MWPp9upBs6L9pbigV1s0Tk9BempK9XHhFihc8NAFOFpRiayMVJSUluNQWQU6ZGeivLISAsH6nQcw/HlndZ4CvXPTACzbsh8dWzTCie2bomOLY9ukRlJU8ftx56Nds0wAwN5DZbjspe/w2wHH4fJTctE0I7V6C2G7r/H7c7rg7kHdq/8mSkqPoqS0HI3SUpDdKA0AsL74AFIaCM556ouwYh3YpQXeumEAnv98La7Iz0Vu82O/g8pKxfb9pWjeKA0nPDwjrHYD/fzXYdXv+du1O5HbPBPtmmXicFkFFm/Zi7O65QAI73f+4wODAACZDVOwYlsJ+ndugSk/bcV5PXKQldEw7PYA4I3r++PE9k3Rskl69WOqClVfl3RxyRG0z86sfq6iUlFWXonMtBQcrahEWXklGqf7TqUrtu1HTlY6WgW0BQC7DhxBs8yGSE1pgE27DmHXwSPo16k5AGDR5r1onJaCbm2yavzMvsNHUV5RWSOuKofKyrFp9yH0bNsUqgqPhm6r1TfrqQRA4AHivy8AVFWbRvTiIsMAPAvf9NjXVPVxEXkMQIGqThGRDABvAugHYDeAUaq63qrNSKfHxqJw//CXPPLL6v80XrRvdwqeF+2On74SL3/pfFvW+l7DaaK4f0hP3HJuV1vH2n2NcKY6Hi6rCOuk7tW/YZUv/3QujmvZ2PXXsBN3OO3983f5uKAX92ADIpj1pKpZqto04Csr8HukganqNFXtrqpd/XteQFUfVtUp/tulqvprVT1eVfvXlyTIJ5wkEW9GOZz6Z9dV/Z1dut90VmeXIwlP1VWH2xo7aPedmwbYThLhsPs7Hn3acbbbZJKwx3ZRQBE5WUTuFJE7RKSfl0FR8rn9vONtHZfXyv0TUKBT85o7+rnUFEf1NWOeky4NgTfdIH8edoKt4+4a3N2T109mdosCPgzfeoaWAFoBeF1EHvQyMEougX3AXulRqw84mKYOrsYWP/JLJ+FY+ub+81xv04l2zTLqP6gWp8m2PnaTVovGaZ68fjKz+zHotwBOVdW/qOpfAAwEcI13YVGs+vzeczxpN5x1LOOG9nT0GmOH1f9zg05oHXa74SaXS/t1sHz+xjM71xhcNumOQd3C/pl4ubr6xzWnmA4hbtj9F90KIPCjRTrqTmUlj0y/6yzTIVTrktPEk3bP8c+AseP359gbNHbyGl7PHgGA5o2sP/Ge1d3+78KJS/q2t33skBPbehiJWRcm8Htzm91EsQ/AMhF5XUT+BWApgL0i8ryIPO9deAQAJ7Rrimeu/IWtYx+6qFfY7TdJr285jfdysupOAXRbgwb2kkA4J8eXrw7/U+nQ3tbt2+kii8TpXVvZPtbuXu1ee//W002HkNTsniE+8H9V+cL9UMhKR5tdEdefkRd22+mpDXDA2e6irvFq1o4TD1/cC6XlFRjxi/ZBK3wG6tQi/C6i+nrZ2joYF7Dr0REn4len5HrWvlf65mabDiGp2UoUqjqx/qPIS3Z7RKLRdRIL5vzxXMxZWYTHPglvy1A72mdn4vXrfIWR60sUXXLCn4VVabBezOjT8zxt36uVwXavBskbdmc9XSQiC0Vkt4jsF5ESEeE2UlHULNP82oiBXVqYDqFa51aNcf2Z9tcufH2fN7OIMhqGfyVkNfh9cqfsCKIx77ERJ5oOgTxgt+vpWQCXAVjiZQkNCu341t71W9u9CrnN5lqHcPVs622fPIAaZTpM69U+9FrVd24aGMVI3BcvM54+/cPZpkOIK3b/VTcDWMokETt+/POgOo/9LowVqYFuP8/eLKI2Tb3rO49Hbq8XSE9t4OgKher6Rcdsy+djYQJHPLGbKO4DME1ExonIPVVfXgZG1lo3zcBdAXPcp9x+Bh52MOMJAHKy7CWA1lGYmRRP3B4PevbKvq62l8zevMF6880UjnmExW6ieBzAIfjWUmQFfFEU3ejvk3/9ulMBAH+4wFeqYPAJbdAnN9vzy/7seub/O/Wox/3at9m8YgpXJOeaYPWIhvZuF0E0FKi+RZBJMufDNXavv9qr6kmeRkL1emD4CfjjhT1qdE9Espl6FZPdytPuPMuyz94N5ZXe9JimNnD+i/vLxSdi4vdeVO93352DuuH52WtMh+GqBswUYbH7lz5NRNwvaENhERFP+rBNLqpq3tj72VyHyyoc/6zVVcPZ3e0vXKvTbgNB80bH3ruTKq3Rcnxrb1bj2+XFrm1ME+Gxe4a4BcAMETnM6bGJp/YmK4n22tdGsHbgjONDJ4NIk/bCh4999orlWSIX9zHbJZbXKnZmrCUrW4lCVbPgqxp7LoCL4dsa9WLvwqJo6mNj1etl9RSyc6phFPq9IqlP9c/fBd3HxXWxsE4mFLuD9l5defy886An7ZJ9dhfc3QjgSwAzADzi//6wd2FRrOkRhbUOXoh0jYbVVcPALi0jahtAdQ2vt24cEHFbpn142xmetOu09pXVJlcsRR4eux/n7gJwKoCNqnoefFuT7vMsKoo5Tspvx4IZd3u3sKq7C8X7Lu2Xiw3jh6OrR1V5o8mrtQn5ec4qAjweYmzj/iE9k6bUjVvsJopSVS0FABFJV9WVAHp4FxZF23djz8dwi77ozDQuUIp3f73M/UHhWBZqrYTdvc3pGLuJolBEsgF8CGCWiHwEwPHcPhFpISKzRGSN/3vQJa4iMkNE9orIJ05fi+xpn52JZ67oW33/tC4tMf/BwdX3O0RhBzq3sUxDTb86Of6qxlJssDuYfamq7lXVRwA8BOBVAJdE8LpjAcxW1W4AZvvvB/MUuJNe1AROk/3XdafGVOlvJ9zoGgKAb8ee70o7pnExMjkV9pQTVf1SVaeoalkErzsSvj244f9+SYjXmg2gJILXIQfSUnw1hxqlpeKCXm2S/lI9WIkzrzcX8kIkK/fP9njXPYptpjqe26jqNv/t7QDaRNKYiIwBMAYAOnXyph5+sqi90jta00Pd9t4t3u6I9l6S7bg24ZpTUFJajlMf/8x0KGSAZ4lCRD4DEGzPxwcC76iqikhE641UdQKACQCQn58fy2uXyGPXnp6HP13YA41dnIETbFFgslUfzWiYkhCVbWNp//l44tlfu6oODvWciOwQkXaquk1E2gEo8ioOii1zxw3CH/6zCN+v3+VJ+7ee19XVJAFEvgKbYgdL5TtjqsjPFACj/bdHA/jIUBwUZW2bZeDfYwaibdMMz7bNJKqSVmtcpmlGcl0JusXUb208gHdF5Ab4ptleAQAikg/gZlW90X//awA9ATQRkUIAN6jqTEMxk4vmBtl4yQ1Z6bFbCoOir112BjbuOlR9P1524Is1RhKFqu4CUOdMoaoFAG4MuM8ORQpLNKb0HteSReqiZeL11hsQ1advx+waiYKcYXolCtMHt3pT0ygepIZYjNGqiTe1k9o05a6KsYCJgihMybx1fKgSSXec3y34ExHq2dbbTa3IHiYKojAlb5oAJMSWP+kGN7+yEsleJHRMbP7rUkLgrKbEc88vuwd9/MITgy2ZMq9fp6Bl5ChMTBTkmYYJWlwoVj89R0OoDZbivS4YWUvev3jyXCJ20VzarwOyMjgFN9D8BwdzUWKCY6Igz5zUvpnpEFxTVTtq3LCehiMxK9g1YksP9j1P5qu2WMRliuSZfp2yTYfgmlOOa16nYGIyitbGcPMfugDlFZXReTGqFxMFeaZ219OgnvG5nSpFX7IVXYx1vL4jzzSqNcDZJaexoUjILaGmx1JiY6Igz+Q2j26pi5l3c+tTIi8wUVDUiIcd3D3aZKFH2/jbdS7etGnmfZnui/q0c7W9nvy7iBgTBUVNMpe+iIbZ956DB4ef4Olr9M9r4Wn7ADBumLvvoX12JgDg5atPdrXdZMJEQVFzetdWnrXdoXmmZ23Hi645TXDjWV08fY1oLKzL8GhqbGoDnu6c4m+OouY8D2Y9ndXNl3yuOe0419smM9xel8Hh98gxUVBC4MkgetY/Mcx0CBRlTBQU16oGyDn6ET0NAmp49clNnNX3FBoTBcU1XknY4/aEs6q9qE+Oo+qs/DDhHBMFJQaeBSy5nVA/vuNMAMAvT2zjcsvui1bZkURmJFGISAsRmSUia/zf63wsEZG+IvK9iCwTkcUicqWJWCm28SRgj9trWHq0zcKG8cM9nclGscPUFcVYALNVtRuA2f77tR0C8DtVPRHAEADPikh29EKkeFBVZZQJ45hgax2Oz2liIJLYUFUCPYX9J46Zqrw1EsC5/tsTAXwB4P7AA1R1dcDtrSJSBCAHwN6oREhx4YlLe6NLThOc1S3HdCgx7U8X9jAdgjH/NfIk5LVsjHO6syilU6ZybBtV3ea/vR2AZUeniPQHkAZgXYjnx4hIgYgUFBcXuxspReTGMzt72n7LJum4f0hPpCTobnpuSU1J3t9P88Zp+OOFPfg3EgHPEoWIfCYiS4N8jQw8Tn11HUIORYpIOwBvArhOVYMWqFfVCaqar6r5OTn8ZBlLfndaHgCgQzZXTpvkZZ0tSnyedT2p6uBQz4nIDhFpp6rb/ImgKMRxTQFMBfCAqs71KFTyUNUey0NOams4EiJyytQYxRQAowGM93//qPYBIpIG4AMAb6jq5OiGR25p1qgh5j84GNmN0kyHkrSuPT0PZ3RtaToMimOmxijGA7hARNYAGOy/DxHJF5FX/MdcAeBsANeKyCL/V18j0VJEWjZJZ/9wFGmtntxHRpyIVE75oQgYuaJQ1V0ABgV5vADAjf7bbwF4K8qhERFRLfyYQURElpgoiBIM97UmtzFRECWY2mMURJFioiAiIktMFEREZImJgijBZKaZWh5FiYqJgijB3HSWt/W1KPkwURAlmLSAxXU922YZjIQSBRMFUQL76PYzTIdACYCJgiiBpaemmA6BEgATBRERWWKiICIiS0wURAmGmxSR25goiIjIEhMFUYJq1STddAiUIJgoiBJU51aNTIdACYKJgijBdGyRCQAY1rud4UgoUbAoDFGCadcsEyseG4KMhvwcSO5goiBKQJlpXGhH7jHykUNEWojILBFZ4//ePMgxx4nIAhFZJCLLRORmE7ESUfQ8dFEv0yFQEKauTccCmK2q3QDM9t+vbRuA01S1L4ABAMaKSPvohUhE0dY0g50cschUohgJYKL/9kQAl9Q+QFXLVPWI/246OPBORGSEqZNvG1Xd5r+9HUCbYAeJSEcRWQxgM4AnVXVriOPGiEiBiBQUFxd7EzERUZLy7DpPRD4D0DbIUw8E3lFVFZGgu8Gr6mYAffxdTh+KyGRV3RHkuAkAJgBAfn4+d5YnInKRZ4lCVQeHek5EdohIO1XdJiLtABTV09ZWEVkK4CwAk10OlYiILJjqepoCYLT/9mgAH9U+QERyRSTTf7s5gDMBrIpahEQUdY3TOZgdi0wlivEALhCRNQAG++9DRPJF5BX/MScA+EFEfgLwJYCnVXWJkWiJKCqGnBist5pMM5K+VXUXgEFBHi8AcKP/9iwAfaIcGhEZ1KABS6THIk45JSIiS0wURERkiYmCiIgsMVEQkVFDT+IAdqxjoiAiowZ2aWk6BKoHEwURxYTze7Y2HQKFwERBRDEht3mm6RAoBCYKIiKyxERBREY1TPGdhlIb8HQUq1hYhYiMuvyUXGzcdRC3n3+86VAoBCYKIjIqLbUBxg07wXQYZIHXekREZImJgoiILDFREBGRJSYKIiKyxERBRESWmCiIiMgSEwUREVlioiAiIkuiqqZjcJWIFAPYGEETrQDsdCkckxLlfQB8L7EqUd5LorwPILL3cpyq5gR7IuESRaREpEBV803HEalEeR8A30usSpT3kijvA/DuvbDriYiILDFREBGRJSaKuiaYDsAlifI+AL6XWJUo7yVR3gfg0XvhGAUREVniFQUREVlioiAiIktMFH4iMkREVonIWhEZazoep0Sko4jMEZHlIrJMRO4yHVMkRCRFRBaKyCemY4mEiGSLyGQRWSkiK0TkNNMxOSUif/D/bS0VkX+LSIbpmOwSkddEpEhElgY81kJEZonIGv/35iZjtCvEe3nK/ze2WEQ+EJFsN16LiQK+kxGAFwEMBdALwFUi0stsVI6VA7hXVXsBGAjgtjh+LwBwF4AVpoNwwXMAZqhqTwC/QJy+JxHpAOBOAPmqehKAFACjzEYVltcBDKn12FgAs1W1G4DZ/vvx4HXUfS+zAJykqn0ArAYwzo0XYqLw6Q9graquV9UyAJMAjDQckyOquk1VF/hvl8B3QupgNipnRCQXwHAAr5iOJRIi0gzA2QBeBQBVLVPVvUaDikwqgEwRSQXQCMBWw/HYpqpfAdhd6+GRACb6b08EcEk0Y3Iq2HtR1U9Vtdx/dy6AXDdei4nCpwOAzQH3CxGnJ9dAIpIHoB+AHwyH4tSzAO4DUGk4jkh1BlAM4F/+brRXRKSx6aCcUNUtAJ4GsAnANgD7VPVTs1FFrI2qbvPf3g6gjclgXHQ9gOluNMREkaBEpAmA9wDcrar7TccTLhG5CECRqs43HYsLUgGcDOAlVe0H4CDip3ujBn///Uj4kl97AI1F5GqzUblHfesF4n7NgIg8AF839NtutMdE4bMFQMeA+7n+x+KSiDSEL0m8rarvm47HoTMAjBCRDfB1BZ4vIm+ZDcmxQgCFqlp1ZTcZvsQRjwYD+FlVi1X1KID3AZxuOKZI7RCRdgDg/15kOJ6IiMi1AC4C8Ft1aaEcE4XPPADdRKSziKTBNzg3xXBMjoiIwNcXvkJV/246HqdUdZyq5qpqHnz/Hp+ralx+clXV7QA2i0gP/0ODACw3GFIkNgEYKCKN/H9rgxCnA/MBpgAY7b89GsBHBmOJiIgMga+7doSqHnKrXSYKAP7Bn9sBzITvj/5dVV1mNirHzgBwDXyfwBf5v4aZDopwB4C3RWQxgL4AnjAbjjP+q6LJABYAWALfOSRuSmCIyL8BfA+gh4gUisgNAMYDuEBE1sB3xTTeZIx2hXgvLwDIAjDL/3//ZVdeiyU8iIjICq8oiIjIEhMFERFZYqIgIiJLTBRERGSJiYKIiCwxURB5wF8t9tZaj033168iiitMFETeyAZQnShEJBNAS1UtNBYRkUNMFETeGA+gq3/R01MAzgXwBQCIyHj/fiGLReRpgzES2cIFd0Qe8Ffu/cS/ZwNE5HkAHwL4CcB3AHqqqopIdpyXHKckwCsKoug4A8A3APYBKAXwqohcBsC1ejxEXmGiIPKYiHQBsNm/YVE5fBtlTYavwucMo8ER2ZBqOgCiBFUCX3E2wLfF7gygep+QRqo6TUS+BbDeUHxEtjFREHlAVXeJyLf+je+3AbjJ/1QWgI9EJAOAALjHVIxEdnEwm8hDIpIO4FtVzTcdC5FTTBRERGSJg9lERGSJiYKIiCwxURARkSUmCiIissREQURElpgoiIjI0v8B1pZBOH4BIJgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(None, None)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.zerocrossing(record_framed).plot(), record.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The zero crossing rate of silence is medium, of unvoiced sound is the largest, and of voiced sound is the smallest.\n",
    "\n",
    "Then carry out the statistics of short-term energy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(None, None)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.energy(record_framed).plot(), record.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The energy of silence is almost zero, while voiced and unvoiced sounds have higher energy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Endpoint detection of speech\n",
    "\n",
    "Given that there is a statistically significant difference between the silent part and the speech part, as well as between the unvoiced part and the voiced part, in terms of properties such as short-time energy, short-time zero crossing rate and spectral entropy, we can leverage this distinction to perform **endpoint detection** on speech. The goal of endpoint detection is to detect the start and end points of each segment of speech in an audio signal and to distinguish between voiced and unvoiced sounds.\n",
    "\n",
    "A common method for endpoint detection is the double threshold method.\n",
    "\n",
    "1. Calculate **short-time energy and short-time zero crossing rate**.\n",
    "\n",
    "2. Set a **short-time energy threshold** and a **short-time zero crossing rate threshold**.\n",
    "3. Calculate the point that the short-time energy **crosses the short-time energy threshold up as the speech start point** and the point **that crosses the short-time energy threshold down as the speech end point**.\n",
    "4. Starting from the **speech start point to the left**, find the last point where the **short-time zero crossing rate is greater than the short-time zero crossing rate threshold** as the new speech start point; starting from the **speech end point to the right**, find the first point where the **short-time zero crossing rate is greater than the short-time over-zero rate threshold** as the new voice end point. This will distinguish between **speech and silent**.\n",
    "5. Set another **higher short-time energy threshold** within the speech segment.\n",
    "6. Within each speech segment, calculate the short-time energy **the point that goes up through the short-time energy threshold as the voiced sound start point** and **the point that goes down through the short-time energy threshold as the voiced sound end point**.\n",
    "7. Starting from the **voiced sound start point to the left**, find the last point where the **short-time zero crossing rate is less than the short-time zero crossing rate threshold** as the new voiced sound start point; starting from the **voiced sound end point to the right**, find the first point where the **short-time zero crossing rate is less than the short-time zero crossing rate threshold** as the new voiced sound end point. In this way, it is possible to distinguish between **voiced and unvoiced sounds**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "sns.distplot(aly.zerocrossing(record_framed).samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.energy(record_framed).plot(ylim=(0,0.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting the histogram of the short-time zero crossing rate can help us to select the threshold. The short-time energy threshold is determined by observing the short-time energy image and then continuously adjust."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vad_result = alg.VAD(record, 0.05, 0.5, 400)    #Endpoint detection for the recording, setting a lower short-time energy threshold of 0.05, a higher short-time energy threshold of 0.5, and a short-time over-zero rate threshold of 400\n",
    "vad_result.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be seen that we have successfully distinguished 10 segments of speech, and we have distinguished the unvoiced sounds before \"three\", \"four\", \"seven\" and \"nine\".\n",
    "\n",
    "# Speech Recognition\n",
    "\n",
    "Speech recognition is one of the tasks in speech signal processing. The most basic supervised speech recognition requires a training set containing the features of many segments of speech and their corresponding text labels for training the model. For a newly obtained speech, we want the machine to recognize the text corresponding to that speech, so the newly obtained speech is used as a test set, the features are extracted and passed through the model to get the labels so that the text corresponding to the speech on the test set is known. \n",
    "\n",
    "## MFCC\n",
    "\n",
    "In order to be able to perform speech recognition, speech features need to be extracted first. The speech spectrum is one of the available speech features. If the Fourier transform is performed using all the sample points in each frame, the spectrum contains all the information of the speech. However, the speech spectrum is very large. For a speech signal with K frames and N sample points in each frame, if $N$-point Fourier transform is used, the size of the speech spectrum is $K\\times \\frac{N}{2}$, which is equal to half of the total number of samples if the overlap rate of frames is 0. If the algorithm we use for speech recognition is simple, we can extract some features that are lighter but maintain the maximum useful information of speech.\n",
    "\n",
    "Mel scale frequencycepstral coefficients (MFCC) analyzes the spectrum of speech based on the results of human auditory experiments. Its theoretical basis includes **mel scale** and **second critical band**. We have already introduced the mel scale. The second critical band is to divide the sound frequency entering the human ear into critical bands, and divide the speech into a series of frequency groups in the frequency domain, forming a filter bank, namely Mel filter bank. According to the resolution defined by mel scale, a group of band-pass filters are arranged according to the critical bandwidth **\"from low frequency to high frequency, from dense to sparse\"** to filter the input signal. **The signal energy output by each band-pass filter is taken as the basic features**. The features can be used as the input features of speech after further processing.\n",
    "\n",
    "Before extracting MFCC features, first **pre emphasis** should be carried outo. The method is to pass the audio through a high pass filter with a system function of $h(z) =1-0.97z^{-1}$ to compensate for the loss of high-frequency part (This is because the medium is the carrier of sound energy. Under the condition of a certain size of sound source, the higher the frequency, the more the loss of sound energy by the medium). Then **framing and windowing** the audio. After that, add Mel filter bank to the spectrum, whose frequency response is defined as: $H_m[k]=\\begin{cases}0,&k<f(m-1)~or~k≥f(m-1)\\\\\\frac{2(k-f(m-1))}{(f(m+1)-f(m-1))(f(m)-f(m-1))},&f(m-1)≤k≤f(m)\\\\\\frac{2(f(m+1)-k)}{(f(m+1)-f(m-1))(f(m)-f(m-1))},&f(m)≤k≤f(m+1)\\end{cases}$, where $f(m)$ represents the central frequency of the $m$ th filter, $h_M[k]$ indicates the frequency response of the $k$ th frequency point $f(m)=(\\frac{N}{f_s}f_{mel}^{-1}(f_{mel}(f_l)+m\\frac{f_{mel}(f_h)-f_{mel}(f_l)}{m+1}))$, where $n$ is the number of samples per frame and $m$ is the number of filters. It can be seen that the central frequency of the filter is evenly distributed on the mel scale and from dense to sparse on the linear scale.\n",
    "\n",
    "After filtering by Mel filter banks, we calculate the logarithmic energy output of each filter bank: $s[m]=\\displaystyle\\ln (\\sum_{k=0}^{n-1}|x_a[k]|2h_m[k]), 0 ≤ m ≤ m$, and then through l-point **discrete cosine transform (DCT)** to get **MFCC coefficient**: $c[n]=\\displaystyle\\sum_ {m=0}^{N-1}s[m]\\cos(\\frac{\\pi n(m-0.5)}{M}),n=1,2,...,L$. The **low-frequency part coefficient** after discrete cosine transform corresponds to **slow changing part** of a frame of short-time speech, the low p-order (p<l) coefficient corresponds to **the system parameters that form pronunciation** (that is, the system parameter of vocal tract and lips), and the part above p-order corresponds to **the excitation parameter of generating speech** (that is, the excitation parameter of air flow through glottis). The key of speech recognition is to determine the system parameters, so we generally extract low-p order (12-16) coefficients. In this way, we compress the feature length of each frame from $\\frac{n}{2}$to p.\n",
    "\n",
    "Next, continue to extract **dynamic difference parameters**, whose calculation formula is $d[n]=\\begin{cases}C[n+1]-C[n],&t<K~or~t≥p-K\\\\\\frac{\\displaystyle\\sum_{k=1}^K k(C[n+k]-C[n-k])}{\\sqrt{2\\displaystyle\\sum_{k=1}^Kk^2}},&others\\end{cases}$, where $k$ is the order of difference. Extract one or two order differences, so that each frame will have $2p$ more features. In addition, **short-term energy** is also an important feature of speech, and it is very easy to calculate. Therefore, usually add the logarithmic energy of a frame, so the features length of a frame is $3p+1$. Then the MFCC feature extraction of each frame has completed.\n",
    "\n",
    "## DTW\n",
    "\n",
    "Dynamic time warping (DTW) algorithm is an algorithm used to measure the similarity of time series, and it can be used in simple speech recognition tasks.\n",
    "\n",
    "In traditional algorithms, cosine similarity or Pearson correlation coefficient can be used to describe the similarity of two sequences. However, time series are special, and the length of the two sequences may be different, so it is impossible to calculate cosine similarity or Pearson correlation coefficient. In addition, if one sequence is obtained after the translation of another sequence, the two should be very similar, but the cosine similarity or Pearson correlation coefficient calculated from point to point cannot take this factor into account. Dynamic time warping (DTW) essentially calculates the similarity distance between two sequences through dynamic programming. In fact, this is similar to solving the longest common substring and subsequence of a string.\n",
    "\n",
    "Based on dynamic programming to construct the distance matrix $dp[i][j]$ of sequence a of length $M$ and sequence b of length $N$, where $dp[i][j]$ denotes the square of the similar distance between sequences $a[0:i]$ and $b[0:j]$. Then we have: $dp[i][j]=\\begin{cases}(a[0]-b[0])^2,& i=0,j=0\\\\(a[0]-b[j])^2+dp[0][j-1],&i=0\\\\(a[i]-b[0])^2+dp[i-1][0],&j=0\\\\(a[i]-b[j])^2+\\min(dp[i-1][j],dp[j-1][i],dp[i-1][j-1]),&i,j >0\\end{cases}$, and finally $dp[N-1][M-1]$ is the similar distance between them.\n",
    "\n",
    "For a segment of speech, we perform framing and windowing and calculate the MFCC features corresponding to each frame. Then the features of each segment of speech are actually a time series $c[k],k=0,1,... ,K$, where $K$ is the total number of frames, and the $k$ th position is the MFCC feature of a frame. For the time series $c_{test}$ corresponding to the MFCC features extracted from any segment of speech on the test set, the similarity distance is calculated with each segment of speech $c_{train}$ on the training set using DTW, and then the label corresponding to the segment with the smallest similarity distance $c_{train}$ is the label of $c_{test}$. Where $(c_{test}[i]-c_{train}[j])^2$ is calculated as the Euclidean distance between MFCC features of length $3p+1$.\n",
    "\n",
    "In the following, we will implement a simple voice dialing recognition program using MFCC+DTW. Since we have already recorded the speech of Arabic numbers 0-9, we directly use the previous recording as the training set. As a test set, we record an 11-digit phone number speech, and the audio used for the demo is \"sample_audio/dial(Chinese).wav\", and the recorded phone number is \"15330927125\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "samples = record"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dial = ak.read_Audio(\"sample_audio/dial(Chinese).wav\")\n",
    "dial.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To perform endpoint detection for speech signal, calculate short-time zero crossing rate and short-time energy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "dial_framed = dial.framing(window=\"hamming\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(aly.zerocrossing(dial_framed).samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.energy(dial_framed).plot(ylim=(0,0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vad_result_dial = alg.VAD(dial, 0.05, 0.2, 250)    #Conduct endpoint detection on the recording, set the lower short-term energy threshold to 0.05, the higher short-term energy threshold to 0.2, and the short-term zero crossing rate threshold to 250\n",
    "vad_result_dial.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The slices method of VAD object can extract all speech segments in the audio and return a list. We first extract the speech segments in the training set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "samples = vad_result.slices()\n",
    "len(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "10 segments of speech are extracted, which correspond to the ten numbers 0-9 respectively.\n",
    "\n",
    "Then extract the speech segments in the test set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dials = vad_result_dial.slices()\n",
    "len(dials)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The speech in the test set is an 11 digit phone number, but 12 segments of speech are extracted. So we look at the duration of each speech segment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.35975056689342405\n",
      "0.3447392290249433\n",
      "0.4796371882086168\n",
      "0.5096145124716553\n",
      "0.43467120181405894\n",
      "0.38970521541950115\n",
      "0.28478458049886624\n",
      "0.49462585034013606\n",
      "0.3297732426303855\n",
      "0.329750566893424\n",
      "0.014988662131519274\n",
      "0.2548072562358277\n"
     ]
    }
   ],
   "source": [
    "for d in dials:\n",
    "    print(d.getDuration())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We found that one segment of speech is significantly shorter than other speech, so we excluded this segment and get the speech corresponding to 11 numbers in the test set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dials = [dial for dial in dials if dial.getDuration() > 0.1]\n",
    "len(dials)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we use MFCC+DTW for speech recognition. The default order of MFCC is 13. Let's try not to add difference and energy features first."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "5\n",
      "3\n",
      "3\n",
      "0\n",
      "9\n",
      "8\n",
      "7\n",
      "1\n",
      "2\n",
      "5\n"
     ]
    }
   ],
   "source": [
    "from pyAudioKits.algorithm import dtw\n",
    "\n",
    "mfcc_samples = [aly.MFCC(sample,diff1=False,diff2=False,energy=False) for sample in samples]    #Using MFCC to extract the features of each speech segment on the training set\n",
    "mfcc_dials = [aly.MFCC(dial,diff1=False,diff2=False,energy=False) for dial in dials]    #MFCC is used to extract the features of each speech in the test set\n",
    "for dial in mfcc_dials: #Iterate over the test set\n",
    "    distances = [dtw(dial, sample) for sample in mfcc_samples]  #Calculate the distance between the features of each segment of speech on the test set and the features of each segment of speech on the training set through DTW\n",
    "    print(np.argmin(distances)) #The tag corresponding to the voice on the test set with the smallest DTW distance is the tag of the voice on the test set"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be seen that all the results are correct except that the \"2\" in the seventh position is recognized as \"8\".\n",
    "\n",
    "Next, try to add difference and energy features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "5\n",
      "3\n",
      "3\n",
      "0\n",
      "9\n",
      "8\n",
      "0\n",
      "1\n",
      "2\n",
      "5\n"
     ]
    }
   ],
   "source": [
    "mfcc_samples = [aly.MFCC(sample,diff1=True,diff2=True,energy=True) for sample in samples]\n",
    "mfcc_dials = [aly.MFCC(dial,diff1=True,diff2=True,energy=True) for dial in dials]\n",
    "for dial in mfcc_dials:\n",
    "    distances = [dtw(dial, sample) for sample in mfcc_samples]\n",
    "    print(np.argmin(distances))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On the contrary, the recognition accuracy decreases, which shows that adding more features does not necessarily increase the recognition accuracy.\n",
    "\n",
    "Since we just recorded one training set audio, there is only one audio sample of the ten numbers 0-9 respectively in the training set. Next, we read more samples and perform the same endpoint detection and MFCC feature extraction operations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "samples2 = ak.read_Audio(\"sample_audio/zero_to_nine2(Chinese).wav\")\n",
    "samples3 = ak.read_Audio(\"sample_audio/zero_to_nine3(Chinese).wav\")\n",
    "vad_result_samples2 = alg.VAD(samples2, 0.05, 0.2, 300)\n",
    "vad_result_samples3 = alg.VAD(samples3, 0.05, 0.2, 300)\n",
    "samples2 = vad_result_samples2.slices()\n",
    "samples3 = vad_result_samples3.slices()\n",
    "mfcc_samples2 = [aly.MFCC(sample,diff1=True,diff2=True,energy=True) for sample in samples2]\n",
    "mfcc_samples3 = [aly.MFCC(sample,diff1=True,diff2=True,energy=True) for sample in samples3]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this way, the training set is expanded to three times the original. Calculate the distance between each speech segment on the test set and each segment on the three training sets, and take the label corresponding to the speech on the training set with the smallest distance. In this way, each speech segment in the test set will get 3 labels. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = [[] for i in range(len(mfcc_dials))]\n",
    "for i,dial in enumerate(mfcc_dials):\n",
    "    distances = [dtw(dial, sample) for sample in mfcc_samples]\n",
    "    result[i].append(np.argmin(distances))\n",
    "    distances = [dtw(dial, sample) for sample in mfcc_samples2]\n",
    "    result[i].append(np.argmin(distances))\n",
    "    distances = [dtw(dial, sample) for sample in mfcc_samples3]\n",
    "    result[i].append(np.argmin(distances))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 1, 1],\n",
       " [5, 5, 5],\n",
       " [3, 3, 3],\n",
       " [3, 3, 3],\n",
       " [0, 0, 0],\n",
       " [9, 9, 9],\n",
       " [8, 2, 8],\n",
       " [0, 7, 7],\n",
       " [1, 1, 1],\n",
       " [2, 2, 2],\n",
       " [5, 5, 5]]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, more than half of the training sets have given the eighth position the label \"7\", so we can determine that the eighth digit is \"7\". The seventh digit \"2\" is still difficult to distinguish, but there is already a segment of speech on training set gives it the \"2\" label. If we continue to expand the training set, the accuracy rate will continue to improve. However, the speed of matching using the DTW algorithm will decrease. "
   ]
  }
 ],
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